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Finding the Fourth Proportional to 2,316.86, 3,475.79 and 673.55

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Solution

The fourth proportional to 2,316.86, 3,475.79 and 673.55 is: 1,010.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.86 : 3,475.79 = 673.55 : x
  2. Step 2: Convert to fraction form
    2,316.86/3,475.79 = 673.55/x
  3. Step 3: Cross multiply
    2,316.86x = 3,475.79 × 673.55
  4. Step 4: Simplify right side
    2,316.86x = 2,341,118.35
  5. Step 5: Solve for x
    x = 2,341,118.35/2,316.86
  6. Step 6: Final answer
    x = 1,010.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.